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Finding the Fourth Proportional to 450.76, 676.42 and 194.26

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Solution

The fourth proportional to 450.76, 676.42 and 194.26 is: 291.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.76 : 676.42 = 194.26 : x
  2. Step 2: Convert to fraction form
    450.76/676.42 = 194.26/x
  3. Step 3: Cross multiply
    450.76x = 676.42 × 194.26
  4. Step 4: Simplify right side
    450.76x = 131,401.35
  5. Step 5: Solve for x
    x = 131,401.35/450.76
  6. Step 6: Final answer
    x = 291.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.